Details

Time bar (total: 21.6s)

sample54.0ms

Algorithm
intervals
Results
25.0ms271×body80valid
1.0ms3×body640valid
1.0ms2×body320valid
0.0ms1×body1280valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
01215
15415
214714
333414
4101214
5484414
done500014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(tanh (/ t y))
0.9b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in associate-*r/
9×frac-sub
8×tanh-def
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×sub-neg
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
4.0ms
(tanh (/ x y))
4.0ms
(tanh (/ t y))
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
73.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series988.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(tanh (/ x y))
127.0ms
(tanh (/ t y))
400.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
332.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.2s

Counts
101 → 101
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02052180
15081819
220771569
done50001413

prune425.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize39.0ms

Local error

Found 4 expressions with local error:

1.7b
(* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
6.7b
(cbrt (tanh (/ t y)))
6.7b
(cbrt (tanh (/ t y)))
6.7b
(cbrt (tanh (/ t y)))

rewrite577.0ms

Algorithm
rewrite-expression-head
Rules
441×cbrt-div
243×frac-times
236×associate-*r/
210×tanh-def
189×frac-sub
81×associate-*l/
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×cbrt-prod
6×pow1 add-exp-log prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×sub-neg
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 269
Calls
4 calls:
519.0ms
(* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
3.0ms
(cbrt (tanh (/ t y)))
3.0ms
(cbrt (tanh (/ t y)))
4.0ms
(cbrt (tanh (/ t y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
373.0ms
(* z (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
278.0ms
(cbrt (tanh (/ t y)))
267.0ms
(cbrt (tanh (/ t y)))
267.0ms
(cbrt (tanh (/ t y)))

simplify1.6s

Counts
281 → 281
Iterations

Useful iterations: done (1.6s)

IterNodesCost
096115751
1353215199
done500014270

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.9b
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b
(* z (- (tanh (/ t y)) (tanh (/ x y))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
54×prod-diff
52×*-un-lft-identity
46×add-cube-cbrt
33×distribute-rgt-in distribute-lft-in associate-*r/
27×frac-sub
18×tanh-def
15×associate-*r*
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
6×sub-neg
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×fma-udef
Counts
4 → 175
Calls
4 calls:
0.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
68.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
57.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
435.0ms
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
296.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
341.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
358.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.3s

Counts
187 → 187
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01855298
14654275
218703581
done50013125

prune859.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.1b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
32×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
11×associate-*r/
9×pow1 add-exp-log frac-sub add-cbrt-cube
8×tanh-def
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u
3×fma-def pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
2.0ms
(tanh (/ t y))
2.0ms
(tanh (/ x y))
13.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
99.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
130.0ms
(tanh (/ t y))
134.0ms
(tanh (/ x y))
545.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
297.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify3.1s

Counts
129 → 129
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02453076
17032555
241482187
done50002183

prune611.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes228.0ms

Accuracy

0% (0.9b remaining)

Error of 1.5b against oracle of 0.5b and baseline of 1.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01417
11915
done1915

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s8337×body80valid
28.0ms95×body640valid
18.0ms47×body1280valid
14.0ms57×body320valid
5.0ms35×body160valid